Introduces a class of resonant controllers that can be used to minimize structural vibration using collocated piezoelectric actuator-sensor pairs. The proposed controller increases the damping of the structure so as to minimize a chosen number of resonant responses. The controller can be tuned to a chosen number of modes. This results in controllers of minimal dimension. The controller structure is chosen such that closed-loop stability is guaranteed. Moreover, the controller can be designed such that the spatial H2 norm of the system is minimized. This will guarantee average reduction of vibration throughout the entire structure. Experimental validation on a simply supported beam is presented showing the effectiveness of the proposed controller.